摘要
对差商和广义差商的性质进行了总结和部分推广。利用广义差商的概念和性质可以构造函数插值、简化B-样条基函数表示以及NURBS曲线曲面的显式矩阵表示,从而扩展了差商的使用范围。
Properties of divided difference and generalized difference quotient are summarized and generalized. Some exam- pies of the application of divided difference, such as interpolation function, representation of B-spline curve function , explicit matrix representation for NURBS curves and surface, are given.
出处
《阜阳师范学院学报（自然科学版）》
2013年第3期15-18,共4页
Journal of Fuyang Normal University(Natural Science)
基金
安徽省教育厅自然科学研究项目(KJ2012B131
KJ2013B195
KJ2013A201)资助
关键词
差商
广义差商
差商的性质
Hermite插值函数
NURBS
divided difference
generalized difference quotient
properties of divided difference
Hermite interpolation func-tion
NURBS
